Please help with the following:

[12 pts total] A computer selects a number X from 3 to 11 randomly and uniformly. Round all answers to 3 decimal places where possible. a. [2 pts] What is the distribution of X? 10 E] [C].C]] b. [2 pts] Suppose that the computer randomly picks 42 such numbers. What is the sampling distribution of means, 1?, for these 42 numbers. f ~ [C],C]} c. [2 pts] Suppose that the computer randomly picks 42 such numbers. What is the sampling distribution of sums, EX, for these 42 numbers. EX~ E] [C].C]l d. [2 pts] What is the probability that the computer generates a single number between 4.15: and 3.2? C] e. [2 pts] What is the probability that the average of the 42 numbers will be less than 2.3? C] 1'. [2 pts] What is the probability that the sum of the 42 numbers is more than 2546:? C]